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Natasha2012 [34]
2 years ago
6

Need help with this question ASAP! What is the length of CE?

Mathematics
2 answers:
Maru [420]2 years ago
8 0

Answer:

its 8

Step-by-step explanation:

Montano1993 [528]2 years ago
4 0
The length of CR is 8
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Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro
Ugo [173]

Answer:

Side\ B = 6.0

\alpha = 56.3

\theta = 93.7

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with \alpha, \beta, \theta

[See Attachment for Triangle]

A = 10cm

C = 12cm

\beta = 30

What the question is to calculate the third length (Side B) and the other 2 angles (\alpha\ and\ \theta)

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

B^2 = A^2 + C^2 - 2ABCos\beta

Substitute: A = 10,  C =12; \beta = 30

B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30

B^2 = 100 + 144 - 240*0.86602540378

B^2 = 100 + 144 - 207.846096907

B^2 = 36.153903093

Take Square root of both sides

\sqrt{B^2} = \sqrt{36.153903093}

B = \sqrt{36.153903093}

B = 6.0128115797

B = 6.0 <em>(Approximated)</em>

Calculating Angle \alpha

A^2 = B^2 + C^2 - 2BCCos\alpha

Substitute: A = 10,  C =12; B = 6

10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha

100 = 36 + 144 - 144 *Cos\alpha

100 = 36 + 144 - 144 *Cos\alpha

100 = 180 - 144 *Cos\alpha

Subtract 180 from both sides

100 - 180 = 180 - 180 - 144 *Cos\alpha

-80 = - 144 *Cos\alpha

Divide both sides by -144

\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}

\frac{-80}{-144} = Cos\alpha

0.5555556 = Cos\alpha

Take arccos of both sides

Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)

Cos^{-1}(0.5555556) = \alpha

56.25098078 = \alpha

\alpha = 56.3 <em>(Approximated)</em>

Calculating \theta

Sum of angles in a triangle = 180

Hence;

\alpha + \beta + \theta = 180

30 + 56.3 + \theta = 180

86.3 + \theta = 180

Make \theta the subject of formula

\theta = 180 - 86.3

\theta = 93.7

5 0
3 years ago
What is the result of subtracting the second equation from the first?
FrozenT [24]

Answer: well this is hard

Step-by-step explanation:

First of all you’re adding 7Y and you’re getting -8 and for subtracting you subtract 5why and you’re getting negative one so technically you’re getting different answers?

8 0
3 years ago
The Westside dog kennel is Building a circular dog park the length of the fence around the park is approximately 110 feet how mu
vredina [299]
You are basically looking to find the area of a circle 
so to find the area of a circle the formula is  A=pi R sqr
so if you take the radius which is half of the diameter 110 you get 55
you multiply 55*55 and get 3025
you than multiply that by pie and get 
9503.32 if you round 
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HELP PLEase ASAP ! ?!!!!
uysha [10]
Since all the angles are the same measure, each angle has to be equal to 60 since all three angles add up to 180. YOU'RE WELCOME :D
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3 years ago
The data below show the number of games won by a baseball team in each of the last 15 seasons.
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I believe the answer is B. If not, I will comment again.
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3 years ago
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